Berrimi, SaidMessaoudi, Salim A.2021-04-262021-04-262004-06-29Berrimi, S., & Messaoudi, S. A. (2004). Exponential decay of solutions to a viscoelastic equation with nonlinear localized damping. <i>Electronic Journal of Differential Equations, 2004</i>(88), pp. 1-10.1072-6691https://hdl.handle.net/10877/13442In this paper we consider the nonlinear viscoelastic equation utt - ∆u + ∫t0 g(t - τ) ∆u(τ) dτ + α(x)|ut|m ut + b|u|γu = 0, in a bounded domain. Without imposing geometry restrictions on the boundary, we establish an exponential decay result, under weaker conditions than those in [3].Text10 pages1 file (.pdf)enAttribution 4.0 InternationalExponential decayGlobal existenceNonlinear localized dampingExponential decay of solutions to a viscoelastic equation with nonlinear localized dampingArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.